Do you know its property ?-13

Algebra Level 4

Let A=(4192).A=\begin{pmatrix} 4 & 1 \\ -9 &-2 \end{pmatrix}. If A100A^{100} can be represented as A100=(abcd),A^{100}=\begin{pmatrix} a & b \\ c & d \end{pmatrix}, what is the value of a+b+c+d?a+b+c+d?


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